The HuffPost probably leans a little closer to the right than to the left, Sp1814, so it might meet your needs. It's certainly a well-respected news source anyway, so it's always worth a look:
http://www.huffingtonpost.co.uk/
The Independent was always a good read in print and it remains so online:
http://www.independent.co.uk/
My own first choice of newspaper is The Times but the whole of its online content has been behind a paywall for as long as I can remember. So I tend to only read it (in the print edition) when I'm taking train journeys. Otherwise I'm happy to get my news from the 'Big 3' internationally-respected news sources (BBC, CNN and Al Jazeera), backed up the HuffPost and The Independent.